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Finding the Fourth Proportional to 299,412, 413,188.56 and 165,276

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Solution

The fourth proportional to 299,412, 413,188.56 and 165,276 is: 228,080.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,412 : 413,188.56 = 165,276 : x
  2. Step 2: Convert to fraction form
    299,412/413,188.56 = 165,276/x
  3. Step 3: Cross multiply
    299,412x = 413,188.56 × 165,276
  4. Step 4: Simplify right side
    299,412x = 68,290,152,442.56
  5. Step 5: Solve for x
    x = 68,290,152,442.56/299,412
  6. Step 6: Final answer
    x = 228,080.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.